My Learning Cart
?
Categories
Account

If triangle XYZ is similar to triangle ABC and the ratio of their corresponding

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: If triangle XYZ is similar to triangle ABC and the ratio of their corresponding sides is 2:3, what is the ratio of their areas?

Options:

  1. 4:9
  2. 2:3
  3. 1:2
  4. 3:2

Correct Answer: 4:9

Solution: 

The ratio of the areas of similar triangles is the square of the ratio of their corresponding sides. Therefore, (2/3)² = 4/9.

If triangle XYZ is similar to triangle ABC and the ratio of their corresponding

Practice Questions

Q1
If triangle XYZ is similar to triangle ABC and the ratio of their corresponding sides is 2:3, what is the ratio of their areas?
  1. 4:9
  2. 2:3
  3. 1:2
  4. 3:2

Questions & Step-by-Step Solutions

If triangle XYZ is similar to triangle ABC and the ratio of their corresponding sides is 2:3, what is the ratio of their areas?
  • Similarity of Triangles – Triangles that have the same shape but may differ in size, with corresponding angles equal and corresponding sides in proportion.
  • Area Ratio of Similar Figures – The ratio of the areas of similar figures is equal to the square of the ratio of their corresponding linear dimensions (sides).
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks